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Explain why 1 n +8 n -3 n -6 n is divisible by 10 for n = 0, 1, 2, ... Please do not use

Explain why 1n+8n-3n-6n is divisible by 10 for n = 0, 1, 2, ...

Please do not use Euclid's Lemma or other advanced techniques. Use factorization techniques such that x-y divides xn-yn

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